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IF the sum of the squares of the roots of the equation ` x^2 - ( sin alpha - 2)x-(1 + sin alpha ) = 0` is least , then ` alpha `=

A

`pi//4`

B

`pi//3`

C

`pi//2`

D

`pi //6`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1B (QUADRATIC EXPRESSIONS)
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  2. If alpha , beta are the roots of x^2 -(a-2) x- (a +1) =0 where...

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  3. IF the sum of the squares of the roots of the equation x^2 -...

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  4. The value of a for which the sum of the squares of the roots ...

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  5. IF the roots of the equation bx^2 + cx + a=0 be imaginary , t...

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  6. The smallest value of of the constant m gt 0 for which f(x) = 9mx - 1 ...

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  7. The real values of a for which y=sqrt(((x+1)(x-3))/(x-2)) tak...

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  8. IF x gt -c then the minimum value of (( a+x) (b +x))/( c+x) ...

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  9. IF x gt -c then the minimum value of (( a+x) (b +x))/( c+x) ...

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  10. For real x , the function ((x-a ) (x-b))/( x-c) will assume al...

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  11. The range of values of x which satisfy 5x + 2 lt 3x +8 and (...

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  12. The range of values of x for which the inequality (x-1) /( 4x ...

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  13. The values of x for which (x-1)/( 3x +4) lt (x-3)/( 3x-2) hold...

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  14. { x in R:(14x)/(x+1)-(9x-30)/(x-4)lt0} is equal to

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  15. IF the inequation sqrt(3x -8) lt -2 then

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  16. if the inequation sqrt(x+5 lt -x then

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  17. If the inequation sqrt( x^2 - 18 x+ 72 ) lt x -1 then

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  18. IF sqrt(9x^2 + 6x +1) lt (2-x) then

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  19. If the inequation sqrt((x+2)(x-5)) gt 8 -x then x lies in

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  20. If the inequation (sqrt(6+x-x^2 ))/( x+10) le sqrt((8-2x -x^2))/( 2...

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